A wrecking ball swings at the end of a 14.4-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed v/ does the ball have when the cable makes an angle of 14.5 ° with respect to the vertical? Number i Units
A wrecking ball swings at the end of a 14.4-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed v/ does the ball have when the cable makes an angle of 14.5 ° with respect to the vertical? Number i Units
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 75PQ: Two children, with masses m1 = 35.0 kg and m2 = 43.0 kg, are swinging on a tire swing attached to a...
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Transcribed Image Text:**Topic: Physics Problem - Circular Motion of a Wrecking Ball**
**Problem Statement:**
A wrecking ball swings at the end of a 14.4-meter cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 meters per second (m/s) as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed \( v_f \) does the ball have when the cable makes an angle of 14.5 degrees with respect to the vertical?
**Calculation Input:**
- Length of cable: 14.4 meters
- Initial speed at the lowest point: 13.5 m/s
- Angle with respect to the vertical: 14.5 degrees
**Answer:**
| Number | Units |
|------------|------------|
| | |
**Explanation:**
To solve this problem, students should use principles from the conservation of mechanical energy, considering the kinetic and potential energies of the system.
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